Download 10-Consecutive integer word problems

Algebra I Common Core
CC Algebra I
Socci
10-Consecutive Integer Word Problems
Date:_________________
Number _____
Name:___________________________
Do Now:
1. Determine the next two consecutive integers in each case.
(a) 3, 4, 5, _____, _____
(b) 12, 13, 14, _____, _____ (c) x, _________, _________
2. Determine the next three consecutive even integers in each case.
(a) 14, 16, 18, _____, _____ (b) 20, 22, _____, _____
(c) x, _________, _________
3. Determine the next three consecutive odd integers in each case.
(a) 9, 11, 13, _____, _____ (b) 5, 3, 1, _____, _____
(c) x, _________ ,_________
Consecutive Integer Word Problem Let Statements
Consecutive Integers:
Consecutive Even Integers:
Example:
Find three consecutive integers such that their sum is 51.
Consecutive Odd Integers:
Variable Set Up
More Examples:
1). Find two consecutive even numbers such that the sum of the smaller number and twice the
greater number is 100.
Variable Set Up
Algebra I Common Core
2) The sum of the ages of the three Romano brothers is 63. If their ages can be represented as
consecutive integers, what is the age of the middle brother?
Variable Set Up
3). The sum of three consecutive integers is -36. Find the integers.
Variable Set Up
4). Three sisters have ages that are consecutive odd integers. Find the ages if the sum of the age of
the youngest and three times the age of the oldest is five less than five times the middle sister’s
age.
Variable Set Up
5). Find three consecutive odd integers such that eight more than the sum of the first two is equal to
eleven less than three times the third.
Variable Set Up
Algebra I Common Core
6). Find three consecutive even integers such that the sum of twice the first and three times the third
is fourteen more than four times the second.
Variable Set Up
7). Find two consecutive odd integers such that 4 times the larger is 29 more than 3 times the
smaller.
Variable Set Up
8). Find two consecutive integers such that 4 times the larger exceeds 3 times the smaller by 23.
Variable Set Up
9). If 𝑥 + 3 represents an integer, then the next consecutive integer in terms of 𝑥 is
(1) 𝑥
(2) 𝑥 + 4
(3) 𝑥 + 2
(4) 𝑥 + 5
10). If 𝑥 − 4 represents an odd integer, then the next consecutive odd integer in terms of 𝑥 is
(1) 𝑥 − 6
(2) 𝑥 − 4
(3) 𝑥 − 3
(4) 𝑥 − 2
Algebra I Common Core
11) Find four consecutive odd integers such that the sum of the second and third this is 88.
Variable Set Up
12) Find three consecutive integers such that the sum of the second and third is 39.
Variable Set Up
13) Find three consecutive integers such that 4 times the first is 49 more than the sum of the second
and third.
Variable Set Up
14) Find three consecutive odd integers such that twice the third is 15 less than 3 times the first.
Variable Set Up
15) Find four consecutive even integers such that twice the sum of the second and third is 34 more than 3
times the first.
Variable Set Up